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Finding the Fourth Proportional to 276.44, 414.78 and 132.14

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Solution

The fourth proportional to 276.44, 414.78 and 132.14 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.44 : 414.78 = 132.14 : x
  2. Step 2: Convert to fraction form
    276.44/414.78 = 132.14/x
  3. Step 3: Cross multiply
    276.44x = 414.78 × 132.14
  4. Step 4: Simplify right side
    276.44x = 54,809.03
  5. Step 5: Solve for x
    x = 54,809.03/276.44
  6. Step 6: Final answer
    x = 198.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.